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Finding the Fourth Proportional to 662.02, 992.95 and 417.80

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Solution

The fourth proportional to 662.02, 992.95 and 417.80 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 992.95 = 417.80 : x
  2. Step 2: Convert to fraction form
    662.02/992.95 = 417.80/x
  3. Step 3: Cross multiply
    662.02x = 992.95 × 417.80
  4. Step 4: Simplify right side
    662.02x = 414,854.51
  5. Step 5: Solve for x
    x = 414,854.51/662.02
  6. Step 6: Final answer
    x = 626.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.